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In the SmallState Lottery, three white balls are drawn (at random) from twenty balls numbered 1 through 20, and a blue SuperBall is drawn (at random) from ten balls numbered 21 through 30. When you buy a ticket, you select three numbers from 1-20 and one number from 21-30. To win the jackpot, the numbers on your ticket must match the three white balls and the SuperBall. (You don't need to match the white balls in order).

If you buy a ticket, what is your probability of winning the jackpot?

--------GIVE YOUR ANSWER AS A SIMPLIFIED FRACTION-------

 Jul 14, 2019
 #1
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67/475

 

https://web2.0calc.com/questions/lottery-question_1

 Jul 14, 2019
 #2
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Probability of 3 white balls matching =1 / 20C3 =1 / 1140.

Probability of the blue Superball =1 / 10C1 =1 / 10

Probability of of the winning ticket =1 / 1140 * 10 = 1 /11, 400.

 Jul 14, 2019

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